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7 November, 11:30

The radioisotope radon-222 has a half life of 3.8 days. How much of a 10 gram sample of radon-222 would be left after 15.2 days?

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  1. 7 November, 11:35
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    0.625 g

    Explanation:

    Given dа ta:

    Half life of radon-222 = 3.8 days

    Total mass of sample = 10 g

    Mass left after 15.2 days = ?

    Solution:

    Number of half lives = T elapsed / Half life

    Number of half lives = 15.2 / 3.8

    Number of half lives = 4

    At time zero = 10 g

    At first half life = 10 g/2 = 5 g

    At 2nd half life = 5 g / 2 = 2.5 g

    At third half life = 2.5 g/2 = 1.25 g

    At 4th half life = 1.25 g/2 = 0.625 g
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